Pith Number

pith:QYOPH2HX

pith:2016:QYOPH2HXCL47MKK6PWHF4PP3V6

not attested not anchored not stored refs pending

Error functions, Mordell integrals and an integral analogue of partial theta function

Alexandru Zaharescu, Arindam Roy, Atul Dixit

arxiv:1605.08904 v1 · 2016-05-28 · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QYOPH2HXCL47MKK6PWHF4PP3V6}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:13:22.680083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

861cf3e8f712f9f6295e7d8e5e3dfbaf8dfee0bb6302d7b0ead39ad2b57fa1fb

Aliases

arxiv: 1605.08904 · arxiv_version: 1605.08904v1 · doi: 10.48550/arxiv.1605.08904 · pith_short_12: QYOPH2HXCL47 · pith_short_16: QYOPH2HXCL47MKK6 · pith_short_8: QYOPH2HX

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/QYOPH2HXCL47MKK6PWHF4PP3V6 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 861cf3e8f712f9f6295e7d8e5e3dfbaf8dfee0bb6302d7b0ead39ad2b57fa1fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eede496516f0e82e8d2353a4c7f9ccbf808e9b2915cb8253a398dc5cb42eccaf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-05-28T15:43:57Z",
    "title_canon_sha256": "8a2eab20058ef4f8da6ec9ec6f959ddf12b310e53cf95ecd282289e39c946481"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.08904",
    "kind": "arxiv",
    "version": 1
  }
}